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203121232022112 = 2534777035844217
BaseRepresentation
bin101110001011110011011000…
…111000011000101001100000
3222122012012101220100011010120
4232023303120320120221200
5203110414240344201422
62000000334504000240
760533011324622325
oct5613633070305140
9878165356304116
10203121232022112
11597a225a131638
121a946309760080
1389453332ccac1
14382319772ab4c
1518739b19ec45c
hexb8bcd8e18a60

203121232022112 has 96 divisors (see below), whose sum is σ = 544608555789312. Its totient is φ = 66257887202304.

The previous prime is 203121232022101. The next prime is 203121232022113. The reversal of 203121232022112 is 211220232121302.

203121232022112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203121232022113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31833828 + ... + 37678044.

It is an arithmetic number, because the mean of its divisors is an integer number (5673005789472).

Almost surely, 2203121232022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203121232022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272304277894656).

203121232022112 is an abundant number, since it is smaller than the sum of its proper divisors (341487323767200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203121232022112 is a wasteful number, since it uses less digits than its factorization.

203121232022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851980 (or 5851972 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 203121232022112 its reverse (211220232121302), we get a palindrome (414341464143414).

The spelling of 203121232022112 in words is "two hundred three trillion, one hundred twenty-one billion, two hundred thirty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 7703 15406 23109 30812 46218 61624 92436 123248 184872 246496 362041 369744 724082 739488 1086123 1448164 2172246 2896328 4344492 5792656 5844217 8688984 11585312 11688434 17377968 17532651 23376868 34755936 35065302 46753736 70130604 93507472 140261208 187014944 274678199 280522416 549356398 561044832 824034597 1098712796 1648069194 2197425592 3296138388 4394851184 6592276776 8789702368 13184553552 26369107104 45018003551 90036007102 135054010653 180072014204 270108021306 360144028408 540216042612 720288056816 1080432085224 1440576113632 2115846166897 2160864170448 4231692333794 4321728340896 6347538500691 8463384667588 12695077001382 16926769335176 25390154002764 33853538670352 50780308005528 67707077340704 101560616011056 203121232022112